Recent Advances in Operator Theory and Applications

1. A Connection between Szegö and Nehari Sequences in the Matrix-valued Case
Daniel Alpay, Israel Gohberg

2. Multivariable Generalizations of the Schur Class: Positive Kernel Characterization and Transfer Function Realization
Joseph A. Ball, Quanlei Fang, Sanne Horst, Animikh Biswas

3. Some Problems Concerning the Test Functions in the Szegö and Avram-Parter Theorems
Albrecht Böttcher, Sergei Grudsky, Moshe Schwartz

4. On the Numerical Solution of a Hypersingular Integral Equation with Fixed Singularities
M. R. Capobianco, G. Criscuolo, P. Junghanns

5. Spectrum and Principal Function of Operators
Muneo Cho, Mariko Giga, An Hyun Kim

6. Spectral Consequences due to General Hölder’s Inequalities and Domination of Semigroups
M. Demuth

7. Quadratically Hyponormal Recursively Generated Weighted Shifts
Yanwu Dong, George Exner, Il Bong Jung, Chunji Li

8. Relaxed Commutant Lifting: An Equivalent Version and a New Application
A. E. Frazho, S. Horst, M. A. Kaashoek

9. Variants of Ando-Hiai Inequality
Masatoshi Fujii, Eizaburo Kamei

10. On Local Spectral Theory
Robin Harte

11. The Finite Sections Approach to the Index Formula for Band-dominated Operators
Vladimir S. Rabinovich, Steffen Roch, Bernd Silbermann

12. A New Proof that Rudin’s Module is not Finitely Generated
Michio Seto

13. Quasinilpotent Part of class A or (p, k)-quasihyponormal Operators
Kôtarô Tanahashi, In Ho Jeon, In Hyoun Kim, Atsushi Uchiyama

14. A New Majorization Induced by Matrix Order
Mitsuru Uchiyama

15.
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Functional Calculus and Characterization of Domains of Fractional Powers
Atsushi Yagi

16. Operators on Locally Convex Spaces
Wieslaw Zelazko

Keywords: MATHEMATICS / General MAT000000